Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 23716.5-i over \(\Q(\sqrt{-7}) \)
Isogeny class 23716.5-i contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 23716.5-i1 | \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -9 a + 13\) , \( 11 a + 27\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
